Solve x-2010/97+x-1/2009+3-x/2007=0

$$\frac { x - 2010 } { 97 } + \frac { x - 1 } { 2009 } + \frac { 3 - x } { 2007 } = 0$$

Solve for x

$$x=2010$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 391110111, the least common multiple of 97,2009,2007.

$$4032063\left(x-2010\right)+194679\left(x-1\right)+194873\left(3-x\right)=0$$

Use the distributive property to multiply 4032063 by x-2010.

$$4032063x-8104446630+194679\left(x-1\right)+194873\left(3-x\right)=0$$

Use the distributive property to multiply 194679 by x-1.

$$4032063x-8104446630+194679x-194679+194873\left(3-x\right)=0$$

Combine 4032063x and 194679x to get 4226742x.

$$4226742x-8104446630-194679+194873\left(3-x\right)=0$$

Subtract 194679 from -8104446630 to get -8104641309.

$$4226742x-8104641309+194873\left(3-x\right)=0$$

Use the distributive property to multiply 194873 by 3-x.

$$4226742x-8104641309+584619-194873x=0$$

Add -8104641309 and 584619 to get -8104056690.

$$4226742x-8104056690-194873x=0$$

Combine 4226742x and -194873x to get 4031869x.

$$4031869x-8104056690=0$$

Add 8104056690 to both sides. Anything plus zero gives itself.

$$4031869x=8104056690$$

Divide both sides by 4031869.

$$x=\frac{8104056690}{4031869}$$

Divide 8104056690 by 4031869 to get 2010.

$$x=2010$$